Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22548704 |
| Fitting | C22×Q8×C251 ⋊ C2 |
| Sylow | C251 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
2528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44550750, #44550766, #44550768, … |
| maximal normal subgroup of | #44550750, #44550766, #44550768, … |
| maximal quotient of | C2×#30631552, C2×#30631577, C2×#30631588, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 1067);